Causality and classical dispersion relations

Abstract

We explore the consequences of relativistic causality and covariant stability for short-wavelength dispersion relations in classical systems. For excitations described by a finite number of partial differential equations, as is the case in relativistic hydrodynamics, we give causality and covariant stability constraints on the excitation's frequency at large momenta.

16 pages, 1 figure. v2: reference added, small clarifications. v3: reference added, published version

References in corpus (3)

• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Bounds on transport from hydrodynamic stability
• Damping of hard excitations in strongly coupled $\mathcal{N}=4$ plasma

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